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Finding the Third Proportional to 40,948 and 61,710

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Solution

The third proportional to 40,948 and 61,710 is: 92,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,948 : 61,710 = 61,710 : x
  2. Step 2: Convert to fraction form
    40,948/61,710 = 61,710/x
  3. Step 3: Cross multiply
    40,948x = 61,710 × 61,710
  4. Step 4: Simplify right side
    40,948x = 3,808,124,100
  5. Step 5: Solve for x
    x = 3,808,124,100/40,948
  6. Step 6: Final answer
    x = 92,999.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.